Euclides 歐幾里得
,
Ji he yuan ben 幾何原本
,
1966
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31
(九)
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(一〇)
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(一一)
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(一二)
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(一五)
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(一八)
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rhead
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幾何原本 卷一
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<
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<
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<
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<
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<
s
xml:id
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xml:space
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">求作一直角方形、與五形幷、等。</
s
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<
s
xml:id
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N13856
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xml:space
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">先作己庚辛直角。
<
lb
/>
</
s
>
<
s
xml:id
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N1385A
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xml:space
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">而己庚線、與甲等。</
s
>
<
s
xml:id
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xml:space
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">庚辛線、與乙等。</
s
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<
s
xml:id
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xml:space
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">次作己辛線。</
s
>
<
s
xml:id
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xml:space
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">旋作己辛壬直角。</
s
>
<
s
xml:id
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">而辛壬與丙等。</
s
>
<
s
xml:id
="
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xml:space
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">次作己壬線。</
s
>
<
s
xml:id
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xml:space
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">旋作己
<
lb
/>
壬癸直角。</
s
>
<
s
xml:id
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xml:space
="
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">而壬癸與丁等。</
s
>
<
s
xml:id
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xml:space
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">次作己癸線。</
s
>
<
s
xml:id
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xml:space
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">旋作己癸子直角。</
s
>
<
s
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xml:space
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">而癸子與戊等。</
s
>
<
s
xml:id
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xml:space
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">末作己子線。</
s
>
<
s
xml:id
="
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xml:space
="
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">題言己子線上、
<
lb
/>
所作直角方形、卽所求。</
s
>
</
p
>
<
figure
xml:id
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number
="
167
">
<
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<
variables
xml:id
="
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"
xml:space
="
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">戊丁丙乙甲</
variables
>
</
figure
>
<
figure
xml:id
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number
="
168
">
<
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file
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0103-02
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<
variables
xml:id
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xml:space
="
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">子癸壬辛庚己</
variables
>
</
figure
>
<
figure
xml:id
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number
="
169
">
<
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file
="
0103-03
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<
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xml:id
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xml:space
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">甲,六,乙,十,丙,八</
variables
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<
p
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<
s
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">論曰。</
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<
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">己辛上。</
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>
<
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xml:id
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="
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">作直角方形。</
s
>
<
s
xml:id
="
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"
xml:space
="
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">與甲、乙、兩形幷等。</
s
>
<
s
xml:id
="
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">(</
s
>
<
s
xml:id
="
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xml:space
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">本題</
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>
<
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xml:id
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">)</
s
>
<
s
xml:id
="
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xml:space
="
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">己壬上作直角方形。</
s
>
<
s
xml:id
="
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"
xml:space
="
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">與己辛、及
<
lb
/>
丙、兩形幷、等。</
s
>
<
s
xml:id
="
N138AB
"
xml:space
="
preserve
">餘倣此推顯。</
s
>
<
s
xml:id
="
N138AE
"
xml:space
="
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">可至無窮。</
s
>
</
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>
<
p
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s
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">四增。</
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s
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">三邊直角形。</
s
>
<
s
xml:id
="
N138B8
"
xml:space
="
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">以兩邊求第三邊長短之數。</
s
>
</
p
>
<
p
xml:id
="
N138BB
">
<
s
xml:id
="
N138BC
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xml:space
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">法曰。</
s
>
<
s
xml:id
="
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"
xml:space
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">甲乙丙角形甲為直角。</
s
>
<
s
xml:id
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"
xml:space
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">先得甲乙、甲丙、兩邊長短之數。</
s
>
<
s
xml:id
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">如甲乙六。</
s
>
<
s
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">甲丙八。
<
lb
/>
</
s
>
<
s
xml:id
="
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"
xml:space
="
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">求乙丙邊長短之數。</
s
>
<
s
xml:id
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N138CF
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xml:space
="
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">其甲乙、甲丙、上所作兩直角方形幷。</
s
>
<
s
xml:id
="
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xml:space
="
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">旣與乙丙上所作直 </
s
>
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